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Simplifying -2x(x + 7) = 9x Reorder the terms: -2x(7 + x) = 9x (7 * -2x + x * -2x) = 9x (-14x + -2x2) = 9x Solving -14x + -2x2 = 9x Solving for variable 'x'. Reorder the terms: -14x + -9x + -2x2 = 9x + -9x Combine like terms: -14x + -9x = -23x -23x + -2x2 = 9x + -9x Combine like terms: 9x + -9x = 0 -23x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(23 + 2x) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(23 + 2x)' equal to zero and attempt to solve: Simplifying 23 + 2x = 0 Solving 23 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 2x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 2x = 0 + -23 2x = 0 + -23 Combine like terms: 0 + -23 = -23 2x = -23 Divide each side by '2'. x = -11.5 Simplifying x = -11.5Solution
x = {0, -11.5}
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